Partial Pearson-two (PP2) of quasi newton method for unconstrained optimization

In this paper, we developing new quasi-Newton method for solving unconstrained optimization problems .The nonlinear Quasi-newton methods is widely used in unconstrained optimization[1]. However,. We consider once quasi-Newton which is (Pearson-two) update formula [2], namely, Partial P2. Most of qu...

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Main Authors: Basheer M. Salih, Khalil K. Abbo, Zeyad M. Abdullah
Format: Article
Language:English
Published: Tikrit University 2023-02-01
Series:Tikrit Journal of Pure Science
Subjects:
Online Access:https://tjpsj.org/index.php/tjps/article/view/1012
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author Basheer M. Salih
Khalil K. Abbo
Zeyad M. Abdullah
author_facet Basheer M. Salih
Khalil K. Abbo
Zeyad M. Abdullah
author_sort Basheer M. Salih
collection DOAJ
description In this paper, we developing new quasi-Newton method for solving unconstrained optimization problems .The nonlinear Quasi-newton methods is widely used in unconstrained optimization[1]. However,. We consider once quasi-Newton which is (Pearson-two) update formula [2], namely, Partial P2. Most of quasi-Newton methods don't always generate a descent search directions, so the descent or sufficient descent condition is usually assumed in the analysis and implementations [3] . Descent property for the suggested method is proved. Finally, the numerical results show that the new method is also very efficient for general unconstrained optimizations [4].
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institution DOAJ
issn 1813-1662
2415-1726
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publishDate 2023-02-01
publisher Tikrit University
record_format Article
series Tikrit Journal of Pure Science
spelling doaj-art-5c910409a5d84e7aba63cece838cc4b72025-08-20T03:17:48ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262023-02-0121310.25130/tjps.v21i3.1012Partial Pearson-two (PP2) of quasi newton method for unconstrained optimizationBasheer M. SalihKhalil K. AbboZeyad M. Abdullah In this paper, we developing new quasi-Newton method for solving unconstrained optimization problems .The nonlinear Quasi-newton methods is widely used in unconstrained optimization[1]. However,. We consider once quasi-Newton which is (Pearson-two) update formula [2], namely, Partial P2. Most of quasi-Newton methods don't always generate a descent search directions, so the descent or sufficient descent condition is usually assumed in the analysis and implementations [3] . Descent property for the suggested method is proved. Finally, the numerical results show that the new method is also very efficient for general unconstrained optimizations [4]. https://tjpsj.org/index.php/tjps/article/view/1012Unconstrained optimizationPearson-two QN methodglobal convergence
spellingShingle Basheer M. Salih
Khalil K. Abbo
Zeyad M. Abdullah
Partial Pearson-two (PP2) of quasi newton method for unconstrained optimization
Tikrit Journal of Pure Science
Unconstrained optimization
Pearson-two QN method
global convergence
title Partial Pearson-two (PP2) of quasi newton method for unconstrained optimization
title_full Partial Pearson-two (PP2) of quasi newton method for unconstrained optimization
title_fullStr Partial Pearson-two (PP2) of quasi newton method for unconstrained optimization
title_full_unstemmed Partial Pearson-two (PP2) of quasi newton method for unconstrained optimization
title_short Partial Pearson-two (PP2) of quasi newton method for unconstrained optimization
title_sort partial pearson two pp2 of quasi newton method for unconstrained optimization
topic Unconstrained optimization
Pearson-two QN method
global convergence
url https://tjpsj.org/index.php/tjps/article/view/1012
work_keys_str_mv AT basheermsalih partialpearsontwopp2ofquasinewtonmethodforunconstrainedoptimization
AT khalilkabbo partialpearsontwopp2ofquasinewtonmethodforunconstrainedoptimization
AT zeyadmabdullah partialpearsontwopp2ofquasinewtonmethodforunconstrainedoptimization